Definition: In this task, you are given inputs i,j, and A, where i and j are integers and A is a list. You need to return the sum of all the numerical elements in the list A between the positions i and j (including positions i and j). Return 0 if no numerical element is present in the list between the given ranges. i and j will be non-negative, and will always have a value less than the length of A. i will always be less than j.
Input: 12, 17, ['2489', '5195', '309', '5375', '967', '4019', 'a', 'X', '7005', '853', '5383', 'f', 'G', 'd', '9405', '585', '9819', 'v', 'C', '1781', 'P']

19809